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Mathematics, 14.10.2020 15:01 badpotterchris

The diagram, which is not drawn to scale, shows three points P, Q, and R on horizontal ground. T is the top of a vertical building of 80 m, at point Q.
The bearing of Q from P is 052° and ∠ PQR = 120°, PQ = 4 km, QR = 10 km.

(a) Find the bearing of Q from R.
(b) Find the area of triangle PQR.
(c) Calculate the distance PR.
(d) Find ∠ QPR.

(e) Rahul leaves R and walks towards P. He stops at a point A, when the angle of depression of A, from
the top of the building T, is the greatest. Calculate this greatest angle of depression.

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